### Abstract

Calculation of reliability and availability is a necessary part of every fault tolerant system design. Conventional methods, which use calculus of probability, almost fail when there is dependant failure, repair, or standby operation in the system. Use of Markov models also almost breaks down when system is composed of many elements or system is repairable. However, the alternatives for reliability and availability, i.e., mean time to failure and steady state availability, respectively, are easily measurable using Markov graphs. In this paper, we introduce an algorithm for the calculation of mean time to failure, and also develop a method to measure steady state availability with its corresponding algorithm.

Original language | English |
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Title of host publication | Deterioration, Dependability, Diagnostics 2012 |

Place of Publication | Brno, Czech Republic |

Publisher | University of Defence |

Pages | 109–122 |

Number of pages | 14 |

ISBN (Print) | 978-80-7231-886-5 |

Publication status | Published - Oct 2012 |

### Keywords

- Mean time to failure
- steady state availability
- Markov graphs
- algorithm
- measurement

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## Cite this

Amiri, M., & Přenosil, V. (2012). Quick algorithms to calculate mean time to failure and steady state availability of systems. In

*Deterioration, Dependability, Diagnostics 2012*(pp. 109–122). Brno, Czech Republic: University of Defence.